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31005420342 = 231323139124337
BaseRepresentation
bin11100111000000100…
…010010101100110110
32222000211011112210120
4130320010102230312
51001444341422332
622124345432410
72145225503331
oct347004225466
988024145716
1031005420342
111217082a236
12601379b706
132c0177c490
141701ba7618
15c1702b32c
hex738112b36

31005420342 has 64 divisors (see below), whose sum is σ = 70186314240. Its totient is φ = 9059618304.

The previous prime is 31005420317. The next prime is 31005420367. The reversal of 31005420342 is 24302450013.

It is an interprime number because it is at equal distance from previous prime (31005420317) and next prime (31005420367).

It is a super-2 number, since 2×310054203422 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187198 + ... + 311534.

It is an arithmetic number, because the mean of its divisors is an integer number (1096661160).

Almost surely, 231005420342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31005420342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35093157120).

31005420342 is an abundant number, since it is smaller than the sum of its proper divisors (39180893898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31005420342 is a wasteful number, since it uses less digits than its factorization.

31005420342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124517.

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 31005420342 its reverse (24302450013), we get a palindrome (55307870355).

The spelling of 31005420342 in words is "thirty-one billion, five million, four hundred twenty thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 139 278 299 417 598 834 897 1794 1807 3197 3614 5421 6394 9591 10842 19182 41561 83122 124337 124683 248674 249366 373011 746022 1616381 2859751 3232762 4849143 5719502 8579253 9698286 17158506 17282843 34565686 37176763 51848529 74353526 103697058 111530289 223060578 224676959 397505389 449353918 674030877 795010778 1192516167 1348061754 2385032334 5167570057 10335140114 15502710171 31005420342